How can I retrieve a Pages document from iCloud onto my iPhone?

I create Pages documents on my computer, and then store them in iCloud Drive. (I don't use Pages for iCloud beta; I create them with Pages on my Mac, and then upload them to iCloud Drive.) I would like to be able to retrieve those documents on my iPhone. Is that possible? I think I have all the settings right in Settings: iCloud Drive is on. Within that, Pages is on. When I go to the Pages app on my phone, all I seem able to do is create documents (which then appear in iCloud in my Mac, which is good.) But I cannot get to the documents that I have stored in iCloud by using my computer. Maddeningly, I cannot seem to find an answer to this anywhere. Is it not possible to do what I want to do?

Thank you very much.